Vmc Booster Test 2

8/2/2015 QuestionRevision

http://www.vidyamandir.com/questionRevision.do?actionName=displayQuestionList&testIds=8a0aa06d4ec577d4014ed40abba253dd&tName=JEE%202016% 1/36

Question1.TheeneynethatproducesachiralcompoundupontreatmentwithH2inthepresenceofLindlar'scatalystis:

[A]

[B]

[C]

[D]

YourAnswer: CorrectAnswer: B

Explanation:

Thisisacaseofchiralityintermsofdifferentsubstituentsonthebasisofgeometricalconfigurations(willbecoveredinmoredetailinadvancedstereochemistrysessions).

Question2.

At ,thesolubilityproduct(Ksp)ofCaF2inwateris .Thesolubility(inmolperkgofwater)ofthesaltatthesame

temperatureis:

[A]

[B]

[C]

[D]

YourAnswer: CorrectAnswer: D

Explanation:Solutionofsparinglysolublesaltisdilutesolution.Fordilutesolution

Question3.



Asolutionof0.1MNa2CO3istitratedagainstHClusing(1)phenolphthaleinasanindicatorand(2)methylorangeasanindicator.The

valueof isequalto:[(WherepH(1)ispHatendpointwithphenolphthaleinandpH(2)ispHatendpointwithmethyl

orange)(gasesareevolvedoffifany)][Given ]

[A] 7

[B]

[C]

[D]

YourAnswer: CorrectAnswer: C

Explanation:

Question4.Whatquantityisrepresentedbytheslopeofthelineinthegraphofthetemperaturedependenceofthenaturallogofanequilibriumconstant?

[A][B][C][D]


Explanation:



Question5.

Theplotof versus (whereXAandYAarethemolefractionsofAinliquidandvapourphases,respectively)islinearwith

slopeandinterceptrespectivelyaregivenas:

[A]

[B]

[C]

[D] Noneofthese


Explanation:

Question6.19gofmoltenSnCl2iselectrolyzedforsometime,usinginertelectrodes.0.119gofSnisdepositedatthecathode.Ifnosubstanceislostduringtheelectrolysisthenfindwhichofthefollowingstatement(s)is(are)correct?[AtomicmassofSn=119,Cl=35.5]

[A] EquivalentofSnCl2decomposedareequalto0.002[B] Equivalentofchlorineproducedareequalto0.002[C] EquivalentofSnCl4formedareequalto0.002[D] MassofSnCl2remainedafterelectrolysisis18.62g

YourAnswer: CorrectAnswer: A,B,C,D

Explanation:



Question7.Acellutilizesthefollowingcellreaction:

WhichofthefollowingwillchangetheEMFofthecell?[A] WhenCo(II)nitrateisdissolvedinthecathodecompartment[B] WhenCo(III)nitrateisdissolvedinthecathodecompartment[C] WhenareaofZn(s)electrodeisdoubled[D] Whenadditionalwaterisaddedtotheanodecompartment

YourAnswer: CorrectAnswer: A,B,D

Explanation:

If[Co2+]isincreased,Ecellwilldecrease

If[Co3+]isincreased,Ecellwillincrease

IfareaofZn(s)isdoubled,Ecellwillnotchange

Ifadditionalwaterisaddedinanodiccompartment,[Zn2+]willdecreaseandhenceEcellwilldecrease.

Question8.ConsiderthefollowingBronstedacidbasereactionofsomeorganiccompoundsR1andR2.

Identifycorrectstatement(s):

[A] R2,P1andP2arearomaticcompounds[B] HybridizationstateofNatominbothP1andP2issame[C] R1isantiaromatic



[D] BothR2andP1containsacloseloopofdelocalizable


Explanation:R1isnotantiaromaticitisnonaromatic.

Question9.Usethestandardreductionpotentialstodeterminewhatisobservedatthecathodeduringtheelectrolysisofa1.0MsolutionofKBrthatcontainsphenolphthaleinusinginertelectrodes.Whatobservationsis(are)made?

[A] Solidmetalforms[B] Bubblesformandapinkcolourappears[C] DarkredBr2(aq)forms[D] Bubblesformandthesolutionremainscolourless


Explanation:Reductionofwatertakesplaceatthecathode.

Bubblesformduetoevolutionof andapinkcolourappearsduetoformationof .

(Phenolphthaleinshowspinkcolourationinalkalinemedium).

Question10.Whichofthefollowingplot(s)iscorrectforfirstorderreaction?(r=rateattime't'andr0istheinitialrate,k=rateconstant,t=temperature).

[A]

[B]



[C]

[D]


Explanation:

Question11.Mercuriciodideisaddedtoanaqueoussolutionofpotassiumiodide.Identifythecorrectstatement(s).[A] Acomplexspeciesisformed[B] Numberofsoluteparticlesincrease[C] Freezingpointisraised[D] Boilingpointislowered

YourAnswer: CorrectAnswer: A,C,D

Explanation:

Whencomplexionsareformedtheirsolutionsshowabnormallylowcolligativeeffectsthanexpectedbecausetheycontainfewerparticlesofsolutethanwouldotherwisebepresent.Whenalittle isaddedtopotassiumiodidesolutionthenumberofsoluteparticlesdecreases,andthereislowvalueofcolligativepropertiesi.e.freezingpointisraisedandboilingpointislowered.

Question12.Considerthefollowingsequenceofreactionsandidentifycorrectstatement(s)

[A] In ,NOgroupshowsI,+RandRelectroniceffects

[B] In , groupshowsIandRelectroniceffects

[C] In , groupshowsIand+Relectroniceffects

[D] In , groupshowsIandRelectroniceffects

YourAnswer: CorrectAnswer: B,C



Explanation:NOisadeactivatinggroup.

Question13.Inthethreestependothermicreaction

thanwhichofthefollowingstatementsarecorrect?[A] StepIisfavouredbyhightemperatureandlowpressure[B] StepIIisfavouredbylowtemperatureandhighpressure[C] StepIIisfavouredbyhighpressureandhightemperature[D] StepIIIisfavouredbyhighpressureandhightemperature


Explanation:NA

Question14.Equalvolumesoffollowingsolutionsaremixed,inwhichcasethepHofresultingsolutionwillbeaveragevalueofpHoftwosolutions?

[A] pH=3(HNO3)andpH=5(HNO3)[B] pH=2(HNO3)andpH=12(KOH)[C] pH=4.5(CH3COOH)andpH=9.5(NH3)(aq)[Ka(CH3COOH)=Kb(NH4OH)][D] pH=3(HCN)andpH=11(NaOH)[KaofHCN=1010]


Explanation:

Question15.Whichofthefollowingstatementsis(are)correctabouthalflifeperiod?[A] Itisproportionaltoinitialconcentrationforzerothorder[B] Averagelife=1.44halflifeforfirstorderreaction[C] Timeof75%reactionisthriceofhalflifeperiodinsecondorderreaction



[D] 99.9%reactiontakesplacein100minutesforthecasewhenrateconstantis0.0693min1


Explanation:

Question16.At298K,theEMFofthecell:

is0.7530V.Thestandardpotentialofthecalomelelectrodeis0.2802V.ThepHofthesolutionis_____________.

YourAnswer: CorrectAnswer: 8

Explanation:

Question17.Howmany bondelectronpairsarelocalizedintheplanarcyclicorganiccompound(P).




Explanation:

2pairofelectrons(1eachforthespcarbonbonds)willremainlocalized.

Question18.Amixture(X)ofisomericorganiccompoundhavingmolecularformulaC4H8,onreactionwithBr2dissolvedinCCl4producesamixturecontainingfiveisomericproductshavingmolecularformulaC4H8Br2.Thenumberofisomericorganiccompoundsinthemixture(X)is____________.


Explanation:

Question19.Howmanystereocentresdoesthefollowingmoleculecontain?


http://www.vidyamandir.com/questionRevision.do?actionName=displayQuestionList&testIds=8a0aa06d4ec577d4014ed40abba253dd&tName=JEE%202016 10/36


Explanation:

Question20.Howmanymillimolesofgaseoussubstanceswouldbeformedduringelectrolysisofaqueous usinginertelectrodebypassingacurrentof10milliampwithcurrentefficiency50%for965min?(Assumenoreactionbetweenproductofelectrolysis,ifany).


Explanation:

Question21.AtimevaryingforceF=2tisappliedonspoolasshowninfigureanditrollswithoutslidingasfrictionissufficient.Theangularmomentumofspoolattimetaboutbottomofspoolis:



[A]

[B]

[C]

[D] Insufficientdata


Explanation:

Question22.Thecurrentthrough resistanceiszero.

ThevalueofEis:

[A] 24V[B] 36V[C] 42V[D] 45V


Explanation:



and areinparallel,socurrentin isalsozero,theycanberemoved.Andthecurrentsareasshown:

Question23.Att=0,astone(ofmassm)isreleasedfromthetopofabuildingofheighth.Attimet,kineticenergyoftheparticleis3timesthepotentialenergyoftheparticlew.r.t.theground.Averagepowerdeliveredtotheparticlebetweent=0andt=tequals:

[A]

[B]

[C]

[D]

YourAnswer: CorrectAnswer: A

Explanation:

Attimet,ithasfallthrough3/4thheightoftotalheighth

Averagepowerdelivered=

Averagepower=

Question24.Aringofradius hascharge uniformlydistributedonitscircumference.Theaxisoftheringpasses

throughthecentreofasolidsphereofradius whichhascharge uniformlydistributedwithinitsvolume.Thedistance



betweenthetwocentreoftheringandthesphereis .ThereisaverythintunnelMNalongtheaxisoftheringthroughthecentreofthesolidsphere.

Whatisthevalueof sothatthereisanullpointatM.

[A]

[B]

[C]

[D]


Explanation:

Question25.Aringofradius hascharge uniformlydistributedonitscircumference.Theaxisoftheringpasses

throughthecentreofasolidsphereofradius whichhascharge uniformlydistributedwithinitsvolume.Thedistance

betweenthetwocentreoftheringandthesphereis .ThereisaverythintunnelMNalongtheaxisoftheringthroughthecentreofthesolidsphere.



Withwhatminimumvelocity shouldaparticleofmass20gmandcharge shouldbeprojectedfromthecentreoftheringalongitsaxissothatitmaybeabletoenterthetunnel.[A] 6m/s[B] 60m/s[C] 300m/s[D] 500m/s


Explanation:

Question26.TwochargesQ1andQ2placedat(0,0,0)and(a,0,0)aresuchthatxcomponentoffieldiszeroat(a/2,a,0).ycomponentoffieldwillbezeroat:

[A]

[B]

[C]

[D]

YourAnswer: CorrectAnswer: A,B,C

Explanation:

Thexcomponentcannotbezeroiftheboththechangesareofoppositesign.]

Fromthefigure,itfollows asxcomponentofE1andE2equal.

atallpointsinthexzplane,theycomponentoffieldwillbezero

Question27.AnunchargedcapacitorhavingcapacitanceCisconnectedacrossabatteryofemfV.Nowthecapacitorisdisconnectedandthenreconnectedacrossthesamebatterybutwithreversedpolarity.Then:

[A] afterreconnection,thermalenergyproducedinthecircuitwillbeequalto2CV2



[B] afterreconnection,thermalenergyproducedinthecircuitwillbeequaltotwothirdofthetotalenergysuppliedbythebattery[C] afterreconnection,noenergyissuppliedbythebattery[D] afterreconnection,energyproducedbythebatteryisconvertedintoheat


Explanation:

Question28.Whentheterminalsofacellofemf1.5Vareconnectedtoanammeterofresistance ,theammeterreads0.30amp.Whichofthefollowingstatementsarecorrect?[A] Thecellisnonideal[B] Ifa resistorisalsoconnectedacrossterminalsofthecell,theammeterwillread0.50amp

[C] Ifa resistorisalsoconnectedacrosstheterminalofthecell,onethirdoftheelectricalpowergeneratedwilldissipateasheatwithinthecell

[D] Ifavoltmeterofresistance isusedtomeasurepotentialdifferencebetweenterminalsofthecell,itwillread1.2V


Explanation:



Question29.

Theelectricpotentialinaregionalongthexaxisvarieswithxaccordingtotherelation .Then:

[A] potentialdifferencebetweenthepointsx=1andx=2is15V[B] forceexperiencedbyaonecoulombchargeat willbe10N[C] theforceexperiencedbytheabovechargewillbetowards+xaxis[D] auniformelectricfieldexistsinthisregionalongthe+xaxis


Explanation:

Question30.EandVonetheelectricfieldandelectricpotentialatOifthelinearchargedensityofthesystemis :



[A]

[B]

[C]

[D]

YourAnswer: CorrectAnswer: A,C

Explanation:

Question31.Fiveidenticalconductingplatesarefixedparalleltoandequidistantfromother.Givend=distancebetweenanytwosuccessiveplatesandA=areaofeitherfaceofeachplate.

[A] Totalchargeonplate3is4timesthetotalchargeonplate1[B] Totalchargeonplate2isnegative

[C] Chargeontheuppersurfaceofplate5is

[D] Chargeonthelowersurfaceofplate1iszero


Explanation:



Chargedrawnfromthebattery=

Totalchargeonplate1=Chargeath

Totalchargeonplate2=Chargesatfandg(sum)

Totalchargeonplate3=chargesatdande= =4

timesthetotalchargeonplate1

Question32.Threeidenticalspheresareinastraightlineonatableandonemovestowardstheothertwowhichareatrestandnotincontact,if

,then:



[A] therearetwoimpactsbetweenthem[B] therearethreeimpactsbetweenthem[C] theratiooftheirfinalvelocitiesis13:15:63[D] theratiooftheirfinalvelocitiesis13:15:36

YourAnswer: CorrectAnswer: B,D

Explanation:

AandBwillcollideagain

ThirdcollisionbetweenAandB: and

BandCwillnotcollideagain

Ratiooffinalvelocities= =13:15:36

Question33.Asphereofmass2.8kgisrollingwithoutslippingonaninclinedplaneofangle fromhorizontal.Choosethecorrectstatement(s).

[A] theminimumcoefficientoffrictionrequiredis

[B] thetranslationalkineticenergyisalwaysgreaterthanrotationalkineticenergy[C] thefrictionforceonthesphereis4.8N

[D] theaccelerationofthesphereis

YourAnswer: CorrectAnswer: B,C,D

Explanation:



Question34.Intheadjacentfigure,auniformrodoflength andmassmiskeptatrestinhorizontalpositiononanelevatededge.Thevalueofx(considerthefigure)issuchthattherodwillhavemaximumangularacceleration ,assoonasitissetfree.

[A] xisequalto

[B] isequalto

[C] isequalto

[D] xisequalto


Explanation:

Question35.Acapacitorof ischargedtoapotentialof100V.Now,thischargedcapacitorisconnectedtobatteryof100Vwithpositiveterminalofbatteryconnectedtonegativeplateofthecapacitor.

Forthegivensituation,markthecorrectstatement(s).



[A] Thechargeflownthrough100Vbatteryis

[B] Thechargeflownthrough100Vbatteryis[C] Heatdissipatedinthecircuitis0.1J[D] Workdoneonthebatteryis0.1J


Explanation:

Changesuppliedbybattery= Heat=

Question36.Theresistivityofrodoflengthlandofuniformcrosssectionvarieslinearlyfrom fromoneendAtotheotherendB.A

potentialdifferenceofVvoltsismaintainedacrosstherod.Theelectricfieldatadistance fromendAis .Findn.


Explanation:

Question37.Asmallsphereofmassm=0.5kgcarryingapositivecharge isconnectedwithalight,flexibleandinextensiblestringof

lengthr=60cmandwhiledinaverticalcircle.Ifaverticallyupwardelectricfieldofstrength existsinthespace,

calculateminimumvelocityofsphererequiredathighestpointsothatitmayjustcompletethecircle.


Explanation:



Question38.ABisahorizontaldiameterofaballmassm=0.4kgandradiusR=0.10m.Attimet=0,asharpimpulseisappliedatBatangleof

withthehorizontal,asshowninfig.,sothatballimmediatelystartstomovewithvelocity .Findthevelocityofthe

ballwhenslidingceasesandpurerollingbegins.


Explanation:

At horizontalandverticalcomponentofimpulseareequal(=Ilet)

Byhorizontalcomponentofimpulse,I=mV0

Angularimpulsebyverticalcomponent=

......(i)

Let bevelocityofcentreandangularvelocityrespectivelywhenpurerollingbeginsaftertimet



ballwillstoppermanently

Question39.Adisc'A'ofmassMisplacedatrestonthesmoothinclinesurfaceofinclination .AballBofmassmissuspendedverticallyfromthecentreofthediscAbyalightinextensiblestringoflength asshowninthefigure.IftheaccelerationofthediscBimmediately

afterthesystemisreleasedfromrestis Thevalueofkis:


Explanation:



Question40.

Inthecircuitshowninfigure,findthevalueof inVolt.


Explanation:

Question41.

If (Cbeingtheconstantofintegration).Then:

[A]



[B] iscontinuousforall

[C]

[D]


Explanation:

Question42.

If ,thenthevalueof isequalto:

[A] 0[B][C] 2207[D] 1


Explanation:

Question43.



Solutionoftheequation isequalto:

[A] 2[B] 3[C] 4[D] 5

YourAnswer: CorrectAnswer: A

Explanation:

Question44.

Thevaluesofaandbforwhichthefunction iscontinuousfor ,are:

[A]

[B]

[C]

[D]


Explanation:



Question45.

If and bothare

differentiableatx=0,theng(x)isnondifferentiableatxisequalto:[A][B]

[C]

[D] 4


Explanation:



Question46.Consideravariableline'L'whichpassesthroughthepointofintersection'p'ofthelines andmeetingthecoordinateaxesatpointsAandB:

[A] thenthelocusofmiddlepointofthesegmentABhastheequation

[B]thenthelocusofthefeetoftheperpendicularfromtheoriginonthevariableline'L'hastheequation

[C] LocusofthecentroidofthevariabletriangleOABhastheequation(where'O'istheorigin)[D] LocusofthecentroidofthevariabletriangleOABhastheequation(where'O'istheorigin)


Explanation:

Question47.

Letx,yberealvariablesatisfythe Leta=max andb=min

,then:

[A][B]

[C][D]




Explanation:

Question48.LetA,B,C,D,lieonalinesuchthatAB=BC=CD=1.ThepointsAandCarealsojoinedbyasemicirclewithACasdiameterandPisavariablepointonthissemicirclesuchthat .LetRistheregionboundedbyareAP,thestraightlinePDandlineAD

[A] ThemaximumpossibleareaofregionRis

[B] If'L'istheperimeterofregion'R',thenLisequalto

[C] ThemaximumpossibleareaofregionRis

[D] If'L'istheperimeterofregion'R',thenLisequalto

YourAnswer: CorrectAnswer: A,B

Explanation:

Question49.

If then:

[A] numberofsolutionsis7[B] numberofsolutionsis6[C] numberofintegralsolutionsis5[D] numberofintegralsolutionsis6




Explanation:

Question50.Iff(x)andh(x)areoddfunctionandg(x)isevenfunction,thenwhichofthefollowingisoddfunction:

[A]

[B]

[C]

[D]


Explanation:

Question51.

Iff: satisfiescondition ,then:



[A] f(x)isontofunction[B] f(x)isoneonefunction[C] f(x)isanoddfunction[D] and areidentical


Explanation:

Question52.

Letf: andlet ,then:

[A] f(x)isoneonefunction[B] f(x)isoddfunction[C] g(x)iscontinuousis

[D] f(x)iscontinuousforall


Explanation:



Question53.

If ,thenwhichofthefollowingis(are)false?

[A]

[B] inthedomainoff(x)

[C] f(x)isidenticalto

[D] Numberofrootsofequation islessthan2

YourAnswer: CorrectAnswer: A,D

Explanation:

Notethatx=0isnotindomainof

CaseI:Ifx>0,let

Nowlet

CaseII:x



as &usingCaseI

So,

doesnotexist

Alsonotethat

isnotindomainof

identicalto

Question54.

Thefunctionf(x)= dtissuchthat:

[A] itisdefinedontheinterval[1,1][B] itisanincreasingfunction[C] itisanoddfunction[D] thepoint(0,0)isthepointofinflection


Explanation:

Now



Again whichvanishedatx=0andchangessign isinflectionsincefiswelldefinedin

Question55.Forthefunctionf(x)=ln(1lnx)whichofthefollowingdonotholdgood?[A] Increasingin(0,1)anddecreasingin(1,e)[B] Decreasingin(0,1)andincreasingin(1,e)[C] x=1isthecriticalnumberforf(x)[D] fhastwoasymptotes


Explanation:

f(x)=ln(1lnx)

Domain(0,e)

f"(1)=0whichisapointofinflectiongraphisasshownyaxisandx=earetwoasymptotes

Question56.

Let ,thenkisequalto_________.


Explanation:



Put inaboveintegraltoget:

Question57.

Let .Ifx1andx2aretworootsoftheequation in

,(where[.]denotesgreatestintegerfunction,{.}denotesfractionalpartofx).Let representsnumberofpointsof

discontinuityoff(x), representsnumberofpointsofnondifferentiability. and then

is_________.


Explanation:

(Wehavemade )

Question58.

If andif ,thennis________.




Explanation:

Question59.

If ,then3kisequalto____________.


Explanation:NA

Question60.

Let thenfindthenumberofpositiveintegralvaluesofxwhichsatisfies


Explanation:

Vmc Booster Test 2

Documents

Transcript of Vmc Booster Test 2